Biogas production integrated to the concept of lignocellulosic biomass: operationa...
| Grant number: | 16/20666-1 |
| Support type: | Scholarships in Brazil - Master |
| Effective date (Start): | March 01, 2017 |
| Effective date (End): | January 31, 2018 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
| Cooperation agreement: | Coordination of Improvement of Higher Education Personnel (CAPES) |
| Principal Investigator: | Ernesto Julián Goldberg Birgin |
| Grantee: | Lucas Magno |
| Home Institution: | Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil |
| Associated research grant: | 13/05475-7 - Computational methods in optimization, AP.TEM |
Abstract This project consists in studying the generation of tessellations, namely, ways of dividing a domain in space into different regions. Among the possible choices we highlight Voronoi diagrams which, although simple, find applications in a multitude of areas. In particular, we will study the Centroidal Voronoi Tessellation and how its calculation can be modeled as a continuous optimization problem. Then, we intend to implement an algorithm based on quasi-Newton methods to solve this problem, introduced in Liu et al. [2009], in which the authors show its efficiency and robustness in comparison to the classical algorithm for calculating CVTs known as Lloyd's method. (AU) | |